 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...PROPOSITION XXIV. THEOREM 709. Two tetraedrons which have a triedral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. GIVEN — the tetraedrons TABC and T'A'B'C having the... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...equivalent. 607. The volumes of two tetrahedrons, having a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of these trihedral angles. 608. The frustum of a triangular pyramid is equivalent to the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...of its parallel sides by one of its other sides, an incorrect method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of. one equal to nn angle of the other are to each other as the products of the sides including^those angles. GIVEN... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...etc., and let C\, C2, etc., be the areas of PEG, GEJ, etc., respectively ; then C = C\-\-C1 + etc. 1/2 the other, are to each other as the products of the sides containing the equal angles.] Therefore, the pyramid E-LRS is four times the pyramid E-LFG, and E-LFG... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...of their slant heights. 439. Two tetrahedrons having a trihedral angle of one equal to a trihedral angle of the other are to each other as the products of the edges including the equal trihedral angles. 440. The plane which bisects a dihedral angle of a tetrahedron... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...PROPOSITION XXIV. THEOREM 700. Two tetraedrons which have a triedral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. GIVEN— the tetraedrons TABC and T'A'B'O having the.... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
....'. a : x : : b : y : : c : z. .'. the triangles 1 and 2 are similar. 240. COR. 1. If two triangles have an angle of one equal to an angle of the other, and the sides including these angles proportional, the triangles are similar. 241. COR. 2. If two triangles... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...of a rectangle whose area is 108, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle of the other, are...products of the sides including the equal angles. A Given Z A common to A ABC and ABC'. To Prove ABC_ = ABxAC . AB'C' AB' x AC ' Proof. Draw line B'C.... | |
 | Mathematics - 1898 - 228 pages
...point B, and prove the construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (B) 1. The shadow cast on level ground by a church steeple is 27 meters long: at the... | |
 | Yale University - 1898 - 212 pages
...point B, and prove the construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (В) 1. The shadow cast on level ground by a church steeple is 27 meters long : at the... | |
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Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles. 
